TS EAMCET · Maths · Three Dimensional Geometry
The shortest distance between the lines \(\overline{\mathrm{r}}=(3 \bar{i}-5 \bar{j}+2 \bar{k})+t(4 \bar{i}+3 \bar{j}-\bar{k})\) and \(\overline{\mathrm{r}}=(\bar{i}+2 \bar{j}-4 \bar{k})+s(6 \bar{i}+3 \bar{j}-2 \bar{k})\) is
- A \(7\)
- B \(8\)
- C \(9\)
- D \(12\)
Answer & Solution
Correct Answer
(B) \(8\)
Step-by-step Solution
Detailed explanation
\(\overline{a_1} = 3 \bar{i}-5 \bar{j}+2 \bar{k}, \overline{b_1} = 4 \bar{i}+3 \bar{j}-\bar{k}\) \(\overline{a_2} = \bar{i}+2 \bar{j}-4 \bar{k}, \overline{b_2} = 6 \bar{i}+3 \bar{j}-2 \bar{k}\)…
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